Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find 2 sin3 x+1 dx

A. ( frac{3}{2}- frac{cos u20613x}{6}+x+C )
B. ( frac{3}{2} cos u2061x+ frac{cos u20613x}{6}+x+C )
C. ( frac{3}{2} cos u2061x- frac{cos u20613x}{6}-x+C )
D. ( frac{3}{2} cos u2061x+ frac{cos u20613x}{6}+C )
Answer» C. ( frac{3}{2} cos u2061x- frac{cos u20613x}{6}-x+C )
Discussion
2.

Integrate 2x cos (x2+3).

A. sin u2061(x<sup>2</sup>+3)+C
B. sin<sup>2</sup> u2061(x<sup>2</sup>+3)+C
C. cot u2061(x<sup>2</sup>+3)+C
D. -sin u2061(x<sup>2</sup>+3)+C
Answer» B. sin<sup>2</sup> u2061(x<sup>2</sup>+3)+C
Discussion
3.

Integrate sin3 (x+2).

A. ( frac{3}{4} ,(sin u2061(x+2))+ frac{1}{12} ,cos u2061(3x+6)+C )
B. ( frac{3}{4} ,(cos u2061(x+2))- frac{1}{5} ,cos u2061(3x+6)+C )
C. ( frac{3}{4} ,(cos u2061(x+2))+ frac{1}{12} ,cos u2061(3x+6)+C )
D. ( frac{3}{4} ,(cos u2061(x+2))+ frac{1}{12} ,sin u2061(x+2)+C )
Answer» D. ( frac{3}{4} ,(cos u2061(x+2))+ frac{1}{12} ,sin u2061(x+2)+C )
Discussion
4.

Integrate ( frac{2 cos 2x}{(cos x-sin x)^2} ).

A. -log u2061(1+2sin u20612x)+C
B. ( frac{1}{4} ) log u2061(1-sin u20612x)+C
C. ( frac{1}{4} ) log u2061(1+cos u20612x)+C
D. -log u2061(1-sin u20612x)+C
Answer» E.
Discussion
5.

Find the integral of ( frac{e^{-x} (1-x)}{sin^2 (xe^{-x})} ).

A. cot u2061xe<sup>-x</sup>+C
B. -cot u2061xe<sup>-x</sup>+C
C. -cot u2061xe<sup>x</sup>+C
D. -cos<sup>2 u2061</sup>xe<sup>-x</sup>+C
Answer» C. -cot u2061xe<sup>x</sup>+C
Discussion
6.

Find ( int frac{5 cos^2 x}{1+sin x} dx ).

A. -3(x+cos u2061x)+C
B. 5(x+cos u2061x)+C
C. 5(-x+sin u2061x)+C
D. 5(x-cos u2061x)+C
Answer» C. 5(-x+sin u2061x)+C
Discussion
7.

Find ( int sin^2 (8x+5) dx )

A. ( frac{x}{4}+ frac{sin u2061(16x+10)}{32}+C )
B. ( frac{x}{2}- frac{cos u2061(16x+10)}{32}+C )
C. ( frac{x}{2}- frac{sin u2061(16x+10)}{32}+C )
D. ( frac{x}{2}+ frac{cos u2061(16x+5)}{32}+C )
Answer» D. ( frac{x}{2}+ frac{cos u2061(16x+5)}{32}+C )
Discussion
8.

Find the integral of ( frac{cos^2 x-sin^2 x}{7 cos^2 x sin^2 x} ).

A. ( frac{1}{7} ) (cot u2061x-tan u2061x)+C
B. ( frac{1}{7} ) (cot u2061x-2 tan u2061x)+C
C. ( frac{1}{7} ) (cot u2061x+tan u2061x)+C
D. ( frac{1}{7} ) (2 cot u2061x+3 tan u2061x)+C
Answer» D. ( frac{1}{7} ) (2 cot u2061x+3 tan u2061x)+C
Discussion
9.

Integrate 8 tan3 x sec2 x.

A. 2 tan<sup>4</sup> u2061x+C
B. 4 cot<sup>4</sup> u2061x+C
C. 2 tan<sup>3 u2061</sup>x+C
D. tan<sup>4 u2061</sup>x+C
Answer» B. 4 cot<sup>4</sup> u2061x+C
Discussion
10.

Integrate 2 sin2 x+cos2x.

A. ( frac{3x}{2}+ frac{sin u20612x}{4}+C )
B. ( frac{3x}{2}- frac{sin u20612x}{4}+C )
C. ( frac{x}{2}+ frac{sin u20612x}{4}+C )
D. ( frac{3x}{4}- frac{2sin u20612x}{2}+C )
Answer» C. ( frac{x}{2}+ frac{sin u20612x}{4}+C )
Discussion